Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [arithmetic]

Questions on basic arithmetic involving numerical quantities only. Questions involving variable values (other than the result of the operation) should be placed under the (algebra-precalculus) tag. Questions about number theory (sometimes called "arithmetic") should not use this tag and should instead use (number-theory) or (elementary-number-theory).

Arithmetic is defined as operations upon numbers using $4$ main operations along with many others:

addition - the sum of two numbers

subtraction - the difference of two numbers also defined as the addition of negative numbers

multiplication - the area of a rectangle with sides of lengths equal to the two operands

division - the number of times one number can be subtracted from another before equaling zero. Sometimes it will allow decimals and in other cases there will be a remainder left over when a number doesn't go into another evenly

See Arithmetic.

6283 questions
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Confusion when computing power's power

When I was playing my calculator, I found that 2^2^3 (I cannot use LaTeX since it requires me to use parentheses) and 2^3^2 yield different results. Isn't that by convention, both 2^2^3 and 2^3^2 can be viewed as 2^6 (multiply the two powers first)?…
Danny
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How can I equal the Sum two different Quantity with different prices

Example I'm gonna buy two box of Books. $1$ Box each store The $1$st Box has Price of 250 per book with $80$ pcs of Books. The $2$nd Box has Price of 280 per book with $65$ pcs of Books. So the price of $1$st box is $250 \times 80 = 20,000$ and…
user3410460
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Why is $0/0 \ \ne \ 0$?

It is not difficult to prove that $0/0$ is not equal to any constant $c \ | \ c/c = 1 \ \land \ c \in \mathbb{R} \cup \mathbb{C}$. First assume that $0/0 = c$. Consider the true equation $2\times0=0$. Based on our initial assumption, dividing the…
Shawhin Layeghi
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Amaretta's birthday is July 27, and her brother Enzo's birthday is September 3. Every year, Amaretta and Enzo celebrate by eating cake

Amaretta's birthday is July 27, and her brother Enzo's birthday is September 3. Every year, Amaretta and Enzo celebrate by eating cake every day from Amaretta's birthday through Enzo's birthday (including both birthdays). If they did this for the…
ddswsd
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Temperatures subtraction

Today I was solving this question: The high temperature on April 4 was $6$ $C^\circ$ The high temperature on April 5 was $-2C^\circ$ What was the difference in temperatures? And my teacher said the answer is -8 but I think it is +8. Who is…
user531192
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Three way currency integer conversion with power of ten

I need to convert crypto currencies which have different decimals only by using their integer representation. Imagine the following use case in their smallest integer representation: XMR: $1e12$ BTC: $1e8$ (satoshis) USD: $1e2$ (cents) with the…
fot
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How many minutes would it take to make 100 toys?

7 machines take 7 min to make 7 identical toys. At the same rate how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 My trial: Given that 7 machines:7minutes:7 toys 1 machine:1minute:1 toy 100 machines:100…
jeanne clement
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Calculating diminishing interest amount

The agent says he will loan an amount of 24,660 dollars and let me pay 414 dollars monthly + interest of 1% per Month on the diminishing balance. How do I calculate the time by which I should be paid up? What is the total interest I pay in this…
Maximus
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Confusion with respect to definition of addition using sections (Hardy)

I am having difficulty interpreting the definition of addition provided in Hardy' Course of Pure Mathematics. (i) Addition. In order to define the sum of two numbers α and β, we consider the following two classes: (i) the class (c) formed by all…
GovEcon
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What is WOP in math or when $2 + 2 * 2$ is equal 8?

I know that this sounds dumb (I'm kind of math ignorant), but for past 30 years of my life I was more than sure that there is only one solution to this equation: $2 + 2 * 2 = 6$ Until I was hit with "welcome screen" in Mobi Calculator asking me…
trejder
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Relationship between δ(base) and δ(coefficient)

What is the relationship between a change in the base (in a power calculation) and a corresponding change in the coefficient? I have an existing calculation: fooCoeff * Math.pow(current, fooExpon) My MathJax is not great, but I think this is…
bignose
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Do my 7 observations about working with 0 fully explain its properties & why calculators give math errors over it; & how so?

I've always been fascinated with division by zero, so I would really love to see a day when calculators gave you a way to have a division by zero that was defined. I am not trolling, I am just seeking the best way to treat zero, and want to know if…
user179283
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Commission on transaction

A tourist going to UK wants to change some Mauritian rupees into pounds sterling. The bank sells the puond sterling at Rs40.50 to a pound sterling,and charges a commision of Rs75 on the transaction.How many Mauritian rupees does he have to pay to…
BTSARMYFOREVERChelli Fighting
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A mathematical function for counting forwards then backwards

Is there a mathematical function for counting forwards then backwards though a number range. e.g. Range of 0-10 The number 7 would equal 7 The number 11 would equal 9 The number 23 would equal 3 So the numbers are counting all the way to the upper…
McShaman
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Why does a theorem in G.H. Hardy's Introduction to the Theory of Numbers looks like it implies that 1 is prime?

In G.H. Hardy's 6th edition of Introduction to the Theory of Numbers, there is a theorem that looks like it implies that $1$ is prime: "Theorem 1. Every positive integer, except $1$, is a product of primes. (p. 2)" $17$ is a positive integer, but…
Chaz Biroan
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